As a Medic I understand the rule about being able to carry 5 bandages, but I have a question?

"Medic Rules:
Each Player should have one Ace type bandage on them at all times to allow them to be Mediced. Medics may carry 5 more Ace type bandages. Players may be healed/Mediced twice before being forced to respawn."

If the Medic is hit, bleeds out after the 5 minute wait, and returns to the spawn point to respawn, can they restock their total available bandage count before they head back out to join the battle?